Abstract
A systematic method for the design of globally stabilizing controllers for nonlinear systems is presented. The control closed-loop strategy is obtained as the solution of the optimal control problem. The closed-loop system is robust. The designer can influence the system responses.
Preview
Unable to display preview. Download preview PDF.
References
Casti, J. (1980). On the general inverse problem of optimal control theory. J.Optimization Theory and Applications vol. 32.491–497.
Geromel, J.C., da Cruz, J.J. (1987). On the robustness of optimal regulators for nonlinear discrete-time systems.IEEE Trans. Automat. Control. vol AC-32. 703–710.
Geromel, J.C., Yamakami, A. (1985). On the robustness of nonlinear regulators and its application to nonlinear system stabilization. IEEE Trans. Automat. Control. vol. AC-30. 1251–1254.
Glad, S.T. (1984). On the gain margin of nonlinear and optimal regulators.IEEE Trans. Automat. Control. vol. AC-29. 615–620.
Katayama, T., Sasaki, S. (1987). Robust stability of linear quadratic state feedback regulator under system uncertainty. Int. J. Control. vol. 45. 391–405.
Tsitsiklis, J.N., Athans, M. (1984). Guaranteed robustness properties of multivariable nonlinear stochastic optimal regulators. IEEE Trans. Automat. Control. vol. AC-29. 690–696.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 International Federation for Information Processing
About this paper
Cite this paper
Kabziński, J. (1992). Optimal control for stabilization of nonlinear systems. In: Davisson, L.D., et al. System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113319
Download citation
DOI: https://doi.org/10.1007/BFb0113319
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55577-3
Online ISBN: 978-3-540-47220-9
eBook Packages: Springer Book Archive